The distance s that a certain object falls is given by the formula

We have to find the value of s when
Substituting the value of 't' and 'v', we get




Hence the object will fall 300 feet, when
The distance s that a certain object falls from a height of 450 ft in t...
if an object is thrown vertically upward with an initial
velocity of v, from an original position of s, the height h at any
time t is given by:
h = -16t^2 + vt + s
If an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by h16t2 +vt+s (where h and s are in ft, t is in seconds and v...
If an object is dropped, the time (in seconds) it takes the object to falls ft is given by the expression Find the time it takes a stone dropped from a height of 324 ft to reach the ground It takes the stone sec to reach the ground
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is the time elapsed in seconds (a) After how many seconds does the object strike the ground? (b) What is the average velocity of the object from t- o until it hits the ground? (c) Find the instantaneous velocity of the object after I second ft/sec Find the instantaneous velocity of the object after 2 seconds. ft/sec...
Given that s(t) = - 4.9t2 + 125t represents the distance (m) of an object from the ground, t seconds after it was thrown in the air, determine when the object reaches the ground. t= 27.5 s a. t = 20.5 s Ob. t= 25.5 s Oc. t= 26.7 s d. t= 22.5 s Oe. Of. t=23.55 Given that s(t) = -4.9t2 + 132t + 20 represents the distance in meters from the ground t seconds after an object is...
If a ball is thrown straight up into the air with an initial velocity of 95 ft/s, it height in feet after t second is given by y=95t–16t2. Find the average velocity for the time period begining when t=1 and lasting(i) 01 seconds: (ii) 001 seconds:(iii) 0001 seconds:Finally based on the above results, guess what the instantaneous velocity of the ball is when t=1.
P. The horizontal distance of a projectile (in feet) is given by x (vo cos e)t, and the height of the projectile is given by y = -16t2 + (vo sin 0)t + yo where vo is the initial velocity, e is the angle of inclination, and yo is the initial height. Suppose an object is propelled upward from the ground at an angle e to the horizontal with an initial velocity of vo ft/sec. a. Find a formula for...
If an object is propelled upwards from a height of 128 feet at an initial velocity of 112 feet per second, then its height h (in feet) after t seconds is given by the equation h(t) = -16t2 +112t +128 a) When does the object reach its maximum height? Determine answer analytically. b) What is the object's maximum height?
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3)
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
An object has a velocity given by v(t) = { + 20 (in ft/sec) after t seconds. Estimate the total distance traveled by the object on the interval (2, 10) using a left hand sum with n=
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4. Suppose a stone is launched vertically upward with initial velocity 32 ft/sec from a height of 48 ft above ground. After t seconds its height is given by s(t) = -16t2 + 32t + 48 At the time when the stone hits the ground it is moving with a speed of A. 32 ft/s B. 24 ft/s C. 64 ft/s D. 48 ft/s E. 96 ft/s